Limit

What is the expansion of sin(x) in terms of x?

What is the limit of f(x) as x approaches a, if f(x) is an algebraic function?

What is the expansion of cos(x) in terms of x?

What is the expansion of tan(x) in terms of x?

What is the expansion of e^x in terms of x?

What is the value of lim x → 0 (sin 2x / x)?

If f(x) = 2 sin(x) and g(x) = 3 cos(x), then what is the value of lim x → 0 (f(x) / g(x))?

What is the derivative of the function f(x) = tan(2x) using the chain rule?

What is the value of lim x → 1 (G(x) - G(1)) / (x - 1) if G(x) = 25 - x^2?

What is the value of lim x → a (g(x) f(a) - g(a) f(x)) / (x - a) if f(a) = 2, f'(a) = 1, g(a) = 1, and g'(a) = 2?

What is the value of lim(x→∞) ((x+1)^2)/(x^2+2x)?

If a, b, c, and d are positive, then what is the value of lim(x→∞) ((a+bx)/(c+dx))?

What is the value of lim(x→∞) (1+x)^(1/x)?

What is the value of lim(x→0) (sin(x)/x)?

What is the value of lim(x→∞) (x^2+x-1)/(x^2+2x)?

What is the value of lim h → 0 (1 - cos(2h)) / sinh?

What is the value of lim x → 0 (x^2 sin(3x)) / sin(5x)?)

What is the value of lim x → 0 (tan(x) - sin(x)) / x^2?)

What is the value of lim x → 0 (sin(2x) / sin(5x))?)

What is the value of lim x → 1 (f(x) - f(1)) / (x - 1) if f(x) = 2 sin(x)?)

What is the value of lim x → 0 (sin(x) / x^2)?)

What is the value of lim x → 0 (cos(2x) - 1) / sin(x)?)

What is the value of lim x → 0 (x^3 sin(3x)) / sin(5x)?)

What is the value of lim x → 0 (sin(3x) / sin(5x))?)

What is the value of lim x → 0 (tan(2x) - sin(2x)) / x^2?)

What is the Taylor series expansion of the function log(1 + x) around x = 0?

What is the condition for the function f(x) = (1 + 1/x)^x to be continuous at x = 0?

What is the derivative of the function f(x) = sin^(-1)x using the chain rule?

What is the limit of the function f(x) = (1 + x)^1/x as x approaches 0?

What is the Taylor series expansion of the function cosh(x) around x = 0?